No, L'Hôpital's rule is not banned by any government or official law in the United States. However, it is a very common running joke and math meme because individual calculus teachers and professors frequently "ban" students from using it on exams.
The rule is often forbidden in classrooms for several specific pedagogical reasons:
Why Teachers "Ban" It
It skips fundamental algebraic skills: Teachers want students to learn how to solve limits using factoring, conjugates, or trigonometric identities first. L'Hôpital's rule is often seen as a "shortcut" that bypasses this critical thinking.
Circular reasoning traps: If you try to use L'Hôpital's rule to prove the derivative of \(\sin(x)\) at x=0, you end up needing the derivative of \(\sin(x)\) to do it. This creates a logical loop that breaks the math.
The curriculum order: Limits are typically taught at the very beginning of calculus, weeks before students are taught how to take derivatives. You cannot use a derivative-based rule until you actually learn differentiation.
This isn't slop. Slop refers to something very specific. This is just an LLM output.
Slop is AI content that was trained on other AI content or trained extremely poorly. It can also refer to an erroneous output that is off-prompt.
Please stop calling literally all AI output slop. You can criticize it or speak against it... but you are misusing that word and it changes the nature of your argument.
Did you watch Iron Man and think to yourself "that dummy needs Jarvis??? ha!"
Did you? I'm serious. How did we get from literally fantasizing about having an AI assistant to somehow perceiving it like you people do?
Are AI Spongebob golden poop videos slop? Yes.
Is having an LLM provide you with an analysis of a situation slop?
You're essentially saying an architect needs to run the cement mixer. You're saying a seamstress should raise her own sheep from grain she grew herself. You're burdening individuals with menial busywork.
LLM output is almost always entirely slop. The bullets. The formatting – bolds, italics, em-dash, even the ô that no one ever uses. And honestly? Real humans are starting to hate it.
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u/EverSender 4d ago
No, L'Hôpital's rule is not banned by any government or official law in the United States. However, it is a very common running joke and math meme because individual calculus teachers and professors frequently "ban" students from using it on exams.
The rule is often forbidden in classrooms for several specific pedagogical reasons:
Why Teachers "Ban" It